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Finding the Fourth Proportional to 16,175.85, 22,314.50 and 9,457.09

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Solution

The fourth proportional to 16,175.85, 22,314.50 and 9,457.09 is: 13,046.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.85 : 22,314.50 = 9,457.09 : x
  2. Step 2: Convert to fraction form
    16,175.85/22,314.50 = 9,457.09/x
  3. Step 3: Cross multiply
    16,175.85x = 22,314.50 × 9,457.09
  4. Step 4: Simplify right side
    16,175.85x = 211,030,234.81
  5. Step 5: Solve for x
    x = 211,030,234.81/16,175.85
  6. Step 6: Final answer
    x = 13,046.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.